Overview Topics

Astrocytes: Movement and Effects

In the initial versions of the AD simulation, the role played by astrocytes was largely that of cytokine secretion, and its eventual impact on neuronal health. After consultation with experts (Prof P McGeer) and recent literature on astrocyte movement (see Kornyei et al, 2000) it has become clearer that astrocytes can move, and that they "gather at the site of plaques" (See Itagaki et al 1989), though details of the motion is as yet unclear. Sections of AD brain tissue reveal distinct astrocytic clustering at plaques, and depletion of astrocytes from adjoining regions, suggesting strongly a process of accumulation of these cells at plaque locations over time.

In considering the process of maturation of AD plaques from diffuse to compact, a secondary effect of astrocytes is now incorporated: their ability to locally seal-off or block sites. The details of this mechanism, too, are under investigation. Currently, we allow astrocytes in a highly activated form to move towards amyloid fibers, and to change the local properties of the tissue. The sealing-off of the site of astrocyte aggregation affects local diffusion of cytokines and amyloid.

The details incorporated in the simulation are described below.

Rules for Astrocytes

States

In the simulation, an astrocyte can be in one of four states:


Movement

The position of an astrocyte is checked and updated every n time steps where n is calculated based on the maximum speed parameter, (in units of microns/min). [Remark: The program automatically converts this value into number of time steps based on the size of a grid space and the duration of a time step.] Only cells that are receptive or motile can move. In order for astrocytes to move, they must have absorbed enough IL-1B to exceed the IL-1B threshold for motility.

The directions of motion on the grid are labeled as follows:

    0 1 2
    3 4 5
    6 7 8
where "4" denotes the current position of the cell. Sensing which direction to move is different for receptive and motile cells based on the fact that the astrocyte's branches are different lengths in the two states.

When the astrocyte is receptive it samples the average fiber density in a circular region that extends 40 microns away from its position. Direction of motion is determined as follows:


Each region shown above corresponds to a direction of movement. The astrocyte will move in the direction of maximal fiber density with a probability given by the probability of moving towards stimulus parameter. If the probability for moving towards the stimulus is not met, then the astrocyte will move randomly. The astrocyte will move in the determined direction as long as there is room (i.e. the maximum density is not exceeded and there are no microglia present). If no fiber is detected, then the cell will not move.

When the astrocyte is motile its sampling region, shown below, is smaller.


After sampling the eight regions, the astrocyte may move in the direction of maximum fiber density with probability given by the probability of moving towards stimulus parameter. This also means that there is some probability of moving in a random direction. Movement occurs only if there is room. If no fiber is detected, the cell will remain in place, and revert to the receptive state. A moving astrocyte remains in the motile state.

These rules for movement are preliminary and will be refined as more information on biological details of astrocyte movement becomes available.

Blocking

The presence of fibrillar amyloid in adjoining grid spaces (represented by white spaces in the diagrams shown above) may cause the astrocyte state to change to blocking, a term used loosely to represent the walling-off effect of astrocytic secretions. When astrocytes encounter fibrillar amyloid in an adjoining grid space, each astrocyte (there may be more than one due to the fact that each astrocyte represents some astrocyte concentration) will become a blocker based on the probability of blocking parameter. For each cell that becomes a blocker, the local chemical diffusivitives are decreased in accordance with the reduction percentage for diffusivities parameter. Currently the effect is felt in the central grid space and the neighboring grid spaces that are normal to the direction of maximum fiber concentration. In the case where the fiber (shown in orange) is detected in a grid space that is diagonal to the astrocyte (in the center), the grid spaces that are affected are shown in blue below


When the fiber is not diagonal, the affected grid spaces look like the one shown below

The locally decreased diffusivities result in a build up of the chemicals, especially the IL-6 and TNF secreted by astrocytes. In some cases, this leads to a wave of neuronal death propagating from blocking astrocytes. Many of these details are still in preliminary form, and will be changed in the future.